The velocity (in m/s) of a particle satisfies the relation

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The velocity

v

(in m/s) of a particle satisfies the relation

t^{2}+[v(t)]^{2}=10

, where

t

is time in seconds. At

t=1

, the velocity is positive. Determine the particle’s acceleration at

t=1

second.